How to disable e-mail notifications?

How can I disable email alerts for new answers to topics/traced forums?

I expect that with a bigger traffic I will be too easy to exhaust the limit of e-mail messages I have with the Polish email provider EmailLabs.

I only want to stay with the browser + notifications on the forum

You can modify max emails per day per user to be 1.

If you’re still getting close to the limit with Jay’s suggestion you should also check disable digest emails.